GCD of 579, 300, 471 Calculator

Given Input numbers are 579, 300, 471

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 579, 300, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 300, 471 is 3.

Therefore, GCD of numbers 579, 300, 471 is 3

Given Input Data is 579, 300, 471

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 579 is 3 x 193

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 471 is 3 x 157

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(579, 300) = 57900

GCD(579, 300) = ( 579 x 300 ) / 57900

GCD(579, 300) = 173700 / 57900

GCD(579, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 471

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

GCD(3, 471) = 1413 / 471

GCD(3, 471) = 3

GCD of 579, 300, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 852, 124
• GCD of 473, 378, 248
• GCD of 710, 723, 157
• GCD of 969, 429, 361
• GCD of 335, 617, 394

1. What is the GCD of 579, 300, 471?

GCD of 579, 300, 471 is 3

2. Where do I get the detailed procedure to find GCD of 579, 300, 471?

You can find a detailed procedure to find GCD of 579, 300, 471 on our page.

3. How to find GCD of 579, 300, 471 on a calculator?

You can find the GCD of 579, 300, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.